cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-8 of 8 results.

A263366 Number of (n+1) X (1+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.

Original entry on oeis.org

1, 1, 2, 5, 10, 19, 37, 73, 146, 293, 586, 1171, 2341, 4681, 9362, 18725, 37450, 74899, 149797, 299593, 599186, 1198373, 2396746, 4793491, 9586981, 19173961, 38347922, 76695845, 153391690, 306783379, 613566757, 1227133513, 2454267026, 4908534053
Offset: 1

Views

Author

R. H. Hardin, Oct 16 2015

Keywords

Examples

			All solutions for n=4:
..2..1....0..0....2..1....0..0....2..1
..0..0....2..1....0..0....0..0....2..1
..2..1....0..0....0..0....0..0....0..0
..0..0....0..0....2..1....0..0....2..1
..2..1....2..1....0..0....0..0....2..1

Links

Crossrefs

Column 1 of A263373.

Formula

Empirical: a(n) = 3*a(n-1) - 3*a(n-2) + 3*a(n-3) - 3*a(n-4) + 3*a(n-5) - 2*a(n-6).
Empirical g.f.: x*(1 - 2*x + 2*x^2 - x^3 + x^4 - 2*x^5) / ((1 - x)*(1 - 2*x)*(1 - x + x^2)*(1 + x + x^2)). - Colin Barker, Jan 01 2019

A263367 Number of (n+1)X(2+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.

Original entry on oeis.org

1, 2, 7, 29, 112, 367, 1359, 5370, 21447, 86013, 343936, 1371301, 5479081, 21913562, 87653287, 350634149, 1402534912, 5609859607, 22439049159, 89756056050, 359024196327, 1436098422693, 5744393762896, 22977556193101, 91910198451361
Offset: 1

Views

Author

R. H. Hardin, Oct 16 2015

Keywords

Comments

Column 2 of A263373.

Examples

			Some solutions for n=4
..0..2..1....0..0..0....0..2..1....0..0..0....1..1..2....0..2..1....0..2..1
..0..2..1....2..1..0....2..1..0....0..0..0....2..1..0....0..0..0....1..1..2
..0..0..0....1..1..2....0..0..0....2..1..0....0..0..0....0..0..0....0..0..0
..0..2..1....0..2..1....0..2..1....1..1..2....1..1..2....0..2..1....0..2..1
..0..2..1....0..0..0....2..1..0....0..2..1....2..1..0....0..0..0....1..1..2

Links

Crossrefs

Cf. A263373.

Formula

Empirical: a(n) = 4*a(n-1) +101*a(n-6) -404*a(n-7) -2159*a(n-12) +8636*a(n-13) +2059*a(n-18) -8236*a(n-19)

A263368 Number of (n+1)X(3+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.

Original entry on oeis.org

2, 7, 82, 865, 9888, 107514, 1260442, 15048493, 180640864, 2167406803, 26004426192, 311958557356, 3743219626994, 44918305209517, 539021844275470, 6468267502547329, 77619174191856096, 931428840572850954
Offset: 1

Views

Author

R. H. Hardin, Oct 16 2015

Keywords

Comments

Column 3 of A263373.

Examples

			Some solutions for n=4
..1..2..1..1....2..2..1..2....0..0..0..0....0..0..2..1....2..1..2..1
..2..2..1..2....0..0..0..0....1..0..2..2....0..2..1..0....1..2..1..1
..1..0..0..1....1..2..1..1....0..0..0..0....2..0..0..2....1..0..0..1
..1..2..1..1....1..0..0..1....0..0..0..0....1..0..2..2....1..1..2..0
..0..2..1..0....1..2..1..1....1..0..2..2....0..2..1..0....2..2..1..2

Links

Crossrefs

Cf. A263373.

A263369 Number of (n+1)X(4+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.

Original entry on oeis.org

5, 29, 865, 24711, 826249, 27274339, 943196037, 32850517101, 1149496602927, 40220123519645, 1407588920518393, 49261304582570101, 1724108144663303417, 60343312266592642007, 2112014898505756338577, 73920482899832743087347
Offset: 1

Views

Author

R. H. Hardin, Oct 16 2015

Keywords

Comments

Column 4 of A263373.

Examples

			Some solutions for n=4
..0..0..2..1..0....1..0..1..0..1....0..1..0..2..2....1..1..0..1..1
..1..2..0..1..2....1..1..2..0..0....1..1..2..0..0....0..0..0..0..0
..0..1..0..0..1....2..0..2..0..2....0..0..0..2..1....0..1..0..0..1
..0..0..2..1..0....0..2..0..0..2....0..1..0..0..1....1..2..0..1..2
..1..0..0..1..0....0..2..1..0..0....1..1..2..2..1....0..2..0..0..2

Links

Crossrefs

Cf. A263373.

A263370 Number of (n+1)X(5+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.

Original entry on oeis.org

10, 112, 9888, 826249, 84790557, 8491666657, 883978450474, 92359613590072, 9695725030142616, 1017738982928794777, 106860144447454638429, 11219638590333541521601, 1178048734539490226212450
Offset: 1

Views

Author

R. H. Hardin, Oct 16 2015

Keywords

Comments

Column 5 of A263373.

Examples

			Some solutions for n=3
..2..0..2..0..2..0....1..0..2..0..1..1....2..2..0..0..1..0....1..1..1..0..2..0
..1..0..1..0..1..0....1..1..1..0..2..0....2..2..0..2..2..0....0..0..0..1..1..2
..2..2..0..2..2..0....2..1..2..2..1..2....1..1..2..1..1..2....0..0..2..1..2..1
..1..1..0..1..1..0....0..2..1..1..1..2....2..2..1..0..1..1....1..1..2..2..1..0

Links

Crossrefs

Cf. A263373.

A263371 Number of (n+1)X(6+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.

Original entry on oeis.org

19, 367, 107514, 27274339, 8491666657, 2535097569590, 787253224440475, 245171742019939573, 76738178529099193548, 24012353212352081646593, 7515855702189389861141905, 2352317017039363043975969464
Offset: 1

Views

Author

R. H. Hardin, Oct 16 2015

Keywords

Comments

Column 6 of A263373.

Examples

			Some solutions for n=3
..1..0..0..0..2..0..2....0..0..1..1..1..0..2....0..0..0..2..1..2..1
..0..0..1..2..0..1..2....1..0..0..1..2..1..0....0..0..1..1..0..1..1
..0..0..1..1..0..1..1....1..2..0..2..1..1..0....0..2..1..2..0..0..2
..1..0..2..0..2..2..2....2..1..1..0..1..2..2....0..1..2..1..1..0..0

Links

Crossrefs

Cf. A263373.

A263365 Number of (n+1)X(n+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.

Original entry on oeis.org

1, 2, 82, 24711, 84790557, 2535097569590
Offset: 1

Views

Author

R. H. Hardin, Oct 16 2015

Keywords

Comments

Diagonal of A263373.

Examples

			Some solutions for n=4
..1..2..0..1..2....2..0..0..2..0....0..1..1..2..0....0..0..1..1..2
..2..0..2..0..2....1..2..2..2..2....2..1..0..2..1....0..2..0..0..2
..0..1..2..1..1....0..2..1..0..0....2..2..1..2..0....1..2..2..2..2
..1..1..1..0..2....2..1..0..0..0....1..0..0..1..0....1..1..2..2..1
..2..1..2..1..0....1..2..0..1..2....2..0..1..1..1....2..2..0..0..1

Crossrefs

Cf. A263373.

A263372 Number of (n+1)X(7+1) 0..2 arrays with each row and column divisible by 7, read as a base-3 number with top and left being the most significant digits.

Original entry on oeis.org

37, 1359, 1260442, 943196037, 883978450474, 787253224440475
Offset: 1

Views

Author

R. H. Hardin, Oct 16 2015

Keywords

Comments

Column 7 of A263373.

Examples

			Some solutions for n=2
..0..0..1..0..0..1..0..0....2..2..2..0..2..2..2..2....2..2..0..0..1..0..0..0
..0..2..1..0..2..1..0..0....1..1..1..0..1..1..1..1....1..1..0..2..1..2..2..0
..0..1..2..0..1..2..0..0....0..0..0..0..0..0..0..0....0..0..0..1..2..1..1..0

Crossrefs

Cf. A263373.
Showing 1-8 of 8 results.

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